Monotone solutions of second-order nonlinear differential equations

DOI10.1016/S0893-9659(99)00210-4zbMath0959.34028OpenAlexW2033727405MaRDI QIDQ1588771

Wang-Tong Li, Xian-Ling Fan

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00210-4

zbMATH Keywords

comparison theoremmonotone solutionnonlinear differential equation of second order

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (7)

Classifications and existence criteria for positive solutions of systems of nonlinear differential equations ⋮ Interval oscillation of second-order half-linear functional-differential equations ⋮ Global non-monotonicity of solutions to nonlinear second-order differential equations ⋮ Classification schemes for positive solutions of nonlinear differential systems. ⋮ Interval oscillation criteria for second-order quasi-linear nonhomogeneous differential equations with damping. ⋮ Some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations ⋮ On monotonic solutions of systems of nonlinear second order differential equations

Cites Work

• Positive solutions of second order nonlinear differential equations
• Monotone solutions of a class of nonlinear difference equations
• Summation averages and the oscillation of second-order nonlinear difference equations
• Oscillation of certain second-order nonlinear differential equations
• Nonoscillation theorems for a class of quasilinear differential equations of second order
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